What is the Least Common Multiple of 91282 and 91287?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 91282 and 91287 is 8332859934.
LCM(91282,91287) = 8332859934
Least Common Multiple of 91282 and 91287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91282 and 91287, than apply into the LCM equation.
GCF(91282,91287) = 1
LCM(91282,91287) = ( 91282 × 91287) / 1
LCM(91282,91287) = 8332859934 / 1
LCM(91282,91287) = 8332859934
Least Common Multiple (LCM) of 91282 and 91287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91282 and 91287. First we will calculate the prime factors of 91282 and 91287.
Prime Factorization of 91282
Prime factors of 91282 are 2, 45641. Prime factorization of 91282 in exponential form is:
91282 = 21 × 456411
Prime Factorization of 91287
Prime factors of 91287 are 3, 7, 23. Prime factorization of 91287 in exponential form is:
91287 = 34 × 72 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 91282 and 91287.
LCM(91282,91287) = 21 × 456411 × 34 × 72 × 231
LCM(91282,91287) = 8332859934
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